General solution of stress field in exponential functionally graded material plates containing a quasi-rectangular cutout

In this paper, using an analytic technique based on complex variable method, the stress resultants and moments in infinite functionally graded plates with rectangular cutout under uniaxial tensile load are investigated. The mechanical properties of the functionally graded plate are assumed to change exponentially. The effect of different parameters such as cutout orientation, aspect ratio of the cutout, and cutout corner curvature on the distribution of stress resultants and moments is investigated. To verify the accuracy of the presented analytical method, its results are compared with the numerical results obtained from finite element modeling in ABAQUS. The comparisons demonstrate a good level of agreement between the obtained numerical and analytical results. According to the results, the above parameters have a significant impact on the distribution of stress resultants and moments around the cutout, and the load-bearing capacity of the functionally graded plates with cutouts can be improved by careful selection of these parameters.